Solving Systems with an Inverse Matrix

Algebra Level 2

A system of equations is given by

ax+by=5cx+dy=1.\begin{aligned} ax + by &= 5 \\ cx + dy &= -1. \end{aligned}

If the inverse of [abcd]\left[ \begin{array}{cc} a & b \\ c & d \end{array} \right] is [3231]\left[ \begin{array}{cc} 3 & 2 \\ -3 & 1 \end{array} \right], then what is x+y?x + y?

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